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Finding the Third Proportional to 8,935.95 and 13,230.21

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Solution

The third proportional to 8,935.95 and 13,230.21 is: 19,588.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,935.95 : 13,230.21 = 13,230.21 : x
  2. Step 2: Convert to fraction form
    8,935.95/13,230.21 = 13,230.21/x
  3. Step 3: Cross multiply
    8,935.95x = 13,230.21 × 13,230.21
  4. Step 4: Simplify right side
    8,935.95x = 175,038,481.45
  5. Step 5: Solve for x
    x = 175,038,481.45/8,935.95
  6. Step 6: Final answer
    x = 19,588.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.